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Burka [1]
3 years ago
10

Factor completely 2x3 + x2 - 18x - 9

Mathematics
2 answers:
melisa1 [442]3 years ago
7 0
Factor the following:
2 x^3 + x^2 - 18 x - 9

Factor terms by grouping. 2 x^3 + x^2 - 18 x - 9 = (2 x^3 + x^2) + (-18 x - 9) = x^2 (2 x + 1) - 9 (2 x + 1):
x^2 (2 x + 1) - 9 (2 x + 1)

Factor 2 x + 1 from x^2 (2 x + 1) - 9 (2 x + 1):
(2 x + 1) (x^2 - 9)

x^2 - 9 = x^2 - 3^2:
(2 x + 1) (x^2 - 3^2)

Factor the difference of two squares. x^2 - 3^2 = (x - 3) (x + 3):

Answer:  (x - 3) (x + 3) (2 x + 1) thus the Answer is C.
Contact [7]3 years ago
4 0

Answer:

(x - 3) (x + 3) (2 x + 1) thus the Answer is C.

Step-by-step explanation:

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2 years ago
17. Which of the following is TRUE? ( 5 points) a. The mean tells us, roughly, how much the data deviate from the average. b. Th
svp [43]

Answer:

c. The Mean of Normal Distribution is related to the average of the data set. The Standard deviation is related to data variation.

Step-by-step explanation:

(a) No, mean don't tell us how much the data deviate from the average, Standard deviation tells us. So, Option (a) is incorrect.

(b) No, mean is greatly affected by extreme values. But Median is good to measure central tendency when there is outlier present in data. So, Option (b) is also incorrect.

(c) Here Mean and Standard deviation are correctly defined. Hence, this is only the correct answer.

(d) No, It is the definition of mean not of Standard Deviation. So, this option is also incorrect.

Further, Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.

4 0
3 years ago
Quadrilateral ABCD?<br>​
Mashutka [201]

The given quadrilateral is a kite.

Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)

Firstly, we find the distance between AD and DC

AD = \sqrt{(7 - 2)^{2} + (4 - 4)^{2}  }

⇒ AD = \sqrt{5^{2} }

⇒ AD = 5

DC = \sqrt{(7 - 7)^{2} + (4 - (-1))^{2} }

⇒ DC = \sqrt{5^{2} }

⇒ DC = 5

Hence, AD = DC = 5

Now, find the distance between AB and BC

AB = \sqrt{(-2 - 2)^{2}  + (-5 - 4)^{2} }

⇒ AB = \sqrt{(-4)^{2} + (-9)^{2}  }

⇒ AB = \sqrt{16 + 81}

⇒ AB = \sqrt{97}

BC = \sqrt{(7 - (-2))^{2} + (-1 - (-5))^{2}  }

⇒ BC = \sqrt{9^{2}  + 4^{2} }

⇒ BC = \sqrt{81 + 16}

⇒ BC = \sqrt{97}

Hence, AB = BC = √97

In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.

Hence, it follows the property of kite.

For more questions on quadrilateral, visit:

brainly.com/question/23935806

#SPJ9

6 0
1 year ago
Jill went shopping from 3:45 pm to 5:00 pm for how long did she shop​
Eduardwww [97]

Answer:

total 1 hour 15 mins

Step-by-step explanation:

3:45 - 5:00

lets count one by one

3:45 - 4:00 = 15 mins

4:00 - 5:00 = 1 hour

total 1 hour 15 mins

3 0
1 year ago
Dale keeps all of his pairs of shoes in his closet. select the number of shoes that deal could have in his closet. Mark all that
bekas [8.4K]
As it says he keeps 'pairs' of shoes so the answer has to be an even 'number' - ie B, C and E are all possible answers.
6 0
2 years ago
Read 2 more answers
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